Note on the Space Bmoa
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 40-45

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Let D be the unit disc in the complex plane. It is shown that(i) for 0 < p < 2, there exists an analytic function f ∊ BMOA for which and(ii) for 2 < p < ∞, there exists an analytic function f ∉ BMOA for which This settles the question of Stroethoff [5] on BMOA.
DOI : 10.4153/CMB-1992-006-x
Mots-clés : 30D55., Bloch space, bounded mean oscillation
Choa, Jun Soo. Note on the Space Bmoa. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 40-45. doi: 10.4153/CMB-1992-006-x
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[1] 1. Baernstein, A., Analytic Functions of Bounded Mean Oscillation. In: Aspects of Contemporary Complex Analysis, Academic Press, New York, 3–36. Google Scholar

[2] 2. Garnett, J. B., Bounded Analytic Functions, Academic Press, New York, 1981. Google Scholar

[3] 3. Hallenbeck, D. J. and Samotij, K., On radial variation of bounded analytic functions, Complex Variables, 15(1990),43–52. Google Scholar

[4] 4. Kennedy, P. B., On the derivative of a function of bounded characteristic, Quart. J. Math. Oxford, 15(1964),337–341. Google Scholar

[5] 5. Stroethoff, K., Besov-type characterization for the Bloch space, Bull. Austral. Math. Soc, 39(1989),405–420. Google Scholar

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